| The Extension of Isometry between Unit Spheres of Normed Space $E$ and $l^1$ |
| Received:July 27, 2007 Revised:April 16, 2008 |
| Key Words:
isometry surjective linearly isometric extension.
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| Fund Project:the National Natural Science Foundation of China (No.10571090); the Research Fund for the Doctoral Program of Higher Education (No.20060055010) and the Fund of Tianjin Educational Comittee (No.20060402). |
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| Abstract: |
| The main result of this paper is to prove Fang and Wang's result by another method: Let $E$ be any normed linear space and $V_0: S(E)\rightarrow S(l^1)$ be a surjective isometry. Then $V_0$ can be linearly isometrically extended to $E$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.05.017 |
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